Find the indicated derivatives of the following functions.

Last updated: 8/11/2022

Find the indicated derivatives of the following functions. No need to simplify. a. Find f'(x) where f(x) = arctan (1 + ∛x) b. Find dy/dx where y is implicit defined by sin(2yx) – sec (y^2) – x = arctan (π) c. Find f'(x) where f(x) = {(1 + x^2)^1/x} + (That's (1 + x^2) raised to the power 1/x) d. Find {d^(47)y} / {dx^(47)} | x=2 (the 47th derivative of y with respect to x at x=2) where y = ln (1 + 2x)